Information on Result #707182
Linear OA(420, 346, F4, 6) (dual of [346, 326, 7]-code), using construction X applied to C([110,115]) ⊂ C([111,115]) based on
- linear OA(420, 341, F4, 6) (dual of [341, 321, 7]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {110,111,…,115}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(415, 341, F4, 5) (dual of [341, 326, 6]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {111,112,113,114,115}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(420, 346, F4, 2, 6) (dual of [(346, 2), 672, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(420, 346, F4, 3, 6) (dual of [(346, 3), 1018, 7]-NRT-code) | [i] | ||
| 3 | Digital (14, 20, 346)-net over F4 | [i] | ||
| 4 | Linear OOA(420, 173, F4, 2, 6) (dual of [(173, 2), 326, 7]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(420, 115, F4, 3, 6) (dual of [(115, 3), 325, 7]-NRT-code) | [i] | ||